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A composite rod made of three rods of equal length and cross-section as shown in the fig. The thermal conductivities of the materials of the rods are K/2, 5K and K respectively. The end A and end B are at constant temperatures. All heat entering the face A goes out of the end B there being no loss of heat from the sides of the bar. The effective thermal conductivity of the bar is

  1. 15K/16    
  2. 6K/13    
  3. 5K/16    
  4. 2K/13    

The correct answer is: 15K/16

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